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# The average (arithmetic mean) of six numbers is 24. If the sum of four

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Joined: 02 Sep 2009
Posts: 64314
The average (arithmetic mean) of six numbers is 24. If the sum of four  [#permalink]

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31 Jul 2019, 08:35
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The average (arithmetic mean) of six numbers is 24. If the sum of four of these numbers is 96, what is the average of the other 2 numbers?

A. 12
B. 24
C. 48
D. 72
E. 96

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Re: The average (arithmetic mean) of six numbers is 24. If the sum of four  [#permalink]

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31 Jul 2019, 08:42
arithmetic mean of 6 numbers is 24. This means that sum of these 6 no.s is 144 . we are given that sum of 4 no.s is 96, hence the sumo other 2 numbers is 144-96= 48 and their avg is 24
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The average (arithmetic mean) of six numbers is 24. If the sum of four  [#permalink]

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31 Jul 2019, 10:08
Bunuel wrote:
The average (arithmetic mean) of six numbers is 24. If the sum of four of these numbers is 96, what is the average of the other 2 numbers?

A. 12
B. 24
C. 48
D. 72
E. 96

Given: The average (arithmetic mean) of six numbers is 24. The sum of four of these numbers is 96.

Asked: What is the average of the other 2 numbers?

$$x_1+x_2+x_3+x_4+x_5+x_6=24*6=144$$

$$x_1+x_2+x_3+x_4=96$$

$$x_5+x_6= 144-96 = 48$$

Average of other 2 numbers = $$\frac{x_5+x_6}{2} = 24$$

IMO B
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Re: The average (arithmetic mean) of six numbers is 24. If the sum of four  [#permalink]

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05 Aug 2019, 16:24
Bunuel wrote:
The average (arithmetic mean) of six numbers is 24. If the sum of four of these numbers is 96, what is the average of the other 2 numbers?

A. 12
B. 24
C. 48
D. 72
E. 96

The sum of the six numbers is 24 x 6 = 144, so the sum of the remaining two numbers is 144 - 96 = 48. Thus, the average of these two numbers is 48/2 = 24.

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Re: The average (arithmetic mean) of six numbers is 24. If the sum of four   [#permalink] 05 Aug 2019, 16:24